Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-07-03T15:08:21.997Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary layers in a sectioned centrifuge

Published online by Cambridge University Press:  21 April 2006

G. Amberg  and
H. P. Greenspan
G. Amberg
Affiliation:
Department of Hydromechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden
H. P. Greenspan
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the flow of a suspension in a rotating, cylindrical container with inclined endwalls and a dividing harrier that hlocks any azimuthal motion around the axis. A boundary layer of clarified fluid appears when the influence of the Coriolis force is counteracted and although a bulk swirling motion is prevented by the meridional section, there is still an appreciable azimuthal flow in this thin purified-fluid layer. This flux produces an even more intense current on the leading side of the barrier (relative to the rotation direction) where the section meets the inclined wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 181 , August 1987 , pp. 77 - 97
Copyright
© 1987 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Acrivos, A. & Herbolzheimer, E. 1979 Enhanced sedimentation in settling tanks with inclined walls. J. Fluid Mech. 92, 435–457.Google Scholar
Amberg, G., Dahlkild, A. A., Bark, F. H. & Henningson, D. S. 1986 On time-dependent settling of a dilute suspension in a rotating conical channel. J. Fluid Mech. 166, 473–502.Google Scholar
Bark, F. H., Johansson, A. V. & Carlsson, C.-G. 1984 On a class of rotating viscous flows occurring in separation technology. J. Méc. Theor. Appl. 3, 861.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Greenspan, H. P. 1983 On centrifugal separation of a mixture. J. Fluid Mech. 127, 91–101.Google Scholar
Greenspan, H. P. & Ungarish, M. 1985a On the centrifugal separation of a bulk mixture. Intl J. Multiphase Flow 11, 825–835.Google Scholar
Greenspan, H. P. & Ungarish, M. 1985b On the enhancement of centrifugal separation. J. Fluid Mech. 157, 359–373.Google Scholar
Herron, I. D., Davis, H. & Bretherton, F. P. 1975 On the sedimentation of a sphere in a centrifuge. J. Unit. Mech. 68, 209–234.Google Scholar
Ishii, M. 1975 Thermo-Fluid Dynamic Theory of Two-Phase Flow. Eyrolles.
Kynch, G. J. 1952 A theory of sedimentation. Trans. Faraday Soc. 48, 166–176.Google Scholar
Probstein, R. F., Yung, D. & Hicks, R. E. 1977 A model for Lamella settlers. Physical Separations: Proc. Conf. Engineering Foundation, New York, 30 October to 4 November 1977, pp. 53–92.
Schaflinger, U. 1987 Sedimentation in cylindrical centrifuges with compartments. Ing. Arch. (submitted).
Schneider, W. 1982 Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120, 323–346.Google Scholar